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Combination of mixed finite element and Dirichlet-to-Neumann methods in nonlinear plane elasticity

โœ Scribed by G.N. Gatica

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
558 KB
Volume
10
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

We

study the solvability and Galerkin approximation of an exterior hyperelastic interface problem arising in plane elasticity.

The weak formulation is obtained from an appropriate combination o:f a mixed finite element approach with a Dirichlet-to-Neumann method. The derivation of our results is based on some tools from nonlinear functional analysis and the Babuska-Brezzi theory for variational problems with constraints.

๐Ÿ“œ SIMILAR VOLUMES

Convergence analysis of an approximation
Convergence analysis of an approximation to miscible fluid flows in porous media by combining mixed finite element and finite volume methods
โœ Brahim Amaziane; Mustapha El Ossmani ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 751 KB

## Abstract This article deals with development and analysis of a numerical method for a coupled system describing miscible displacement of one incompressible fluid by another through heterogeneous porous media. A mixed finite element (MFE) method is employed to discretize the Darcy flow equation c